NCERT Solutions for Class 7 Math Chapter 9 - Rational Numbers

NCERT Solutions for Class 7 Math Chapter 9 Rational Numbers are provided here with simple step-by-step explanations. These solutions for Rational Numbers are extremely popular among class 7 students for Math Rational Numbers Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the NCERT Book of class 7 Math Chapter 9 are provided here for you for free. You will also love the ad-free experience on Meritnation’s NCERT Solutions. All NCERT Solutions for class 7 Math are prepared by experts and are 100% accurate.

Page No 182:

Question 1:

List five
rational numbers between:

(i) −
1 and 0 (ii) − 2 and − 1

(iii) (iv)

Answer:

(i) −1
and 0

(ii) −2
and −1

Five rational numbers are

(iii)

Five rational numbers are

(iv)

Five rational numbers are

Page No 182:

Question 2:

Write four more rational numbers in each of the following patterns:

(i) (ii)

(iii) (iv)

Answer:

(i)

It can be observed that the numerator is a multiple of 3 while the denominator is a multiple of 5 and as we increase them further, these multiples are increasing. Therefore, the next four rational numbers in this pattern are

(ii)

The next four rational numbers in this pattern are

(iii)

The next four rational numbers in this pattern are

(iv)

The next four rational numbers in this pattern are

Video Solution for Rational Numbers (Page: 182 , Q.No.: 2)

NCERT Solution for Class 7 math - Rational Numbers 182 , Question 2

Page No 183:

Question 3:

Give four
rational numbers equivalent to:

(i) (ii) (iii)

Answer:

(i)

Four rational numbers are

(ii)

Four rational numbers are

(iii)

Four rational numbers are

Page No 183:

Question 4:

Draw the number line and represent the following rational numbers on it:

(i) (ii)

(iii) (iv)

Answer:

(i)

This fraction represents 3 parts out of 4 equal parts. Therefore, each space between two integers on number line must be divided into 4 equal parts.

can be represented as

(ii)

This fraction represents 5 parts out of 8 equal parts. Negative sign represents that it is on the negative side of number line. Therefore, each space between two integers on number line must be divided into 8 equal parts.

can be represented as

(iii)

This fraction represents 1 full part and 3 parts out of 4 equal parts. Negative sign represents that it is on the negative side of number line. Therefore, each space between two integers on number line must be divided into 4 equal parts.

can be represented as

(iv)

This fraction represents 7 parts out of 8 equal parts. Therefore, each space between two integers on number line must be divided into 8 equal parts.

can be represented as

Video Solution for Rational Numbers (Page: 183 , Q.No.: 4)

NCERT Solution for Class 7 math - Rational Numbers 183 , Question 4

Page No 183:

Question 5:

The points P, Q, R, S, T, U, A and B on the number line are such that,